Question

question 5 of 10 true or false? in ⊙o, radius $overline{op}$ intersects chord $overline{ac}$ in point b so that $ab = 2$ units and $bc = 4$ units. this means that $overline{op}$ is perpendicular to $overline{ac}$. a. true b. false

Explanation:

Step1: Recall chord - radius property

A radius of a circle is perpendicular to a chord if and only if it bisects the chord.

Step2: Analyze given lengths

Here, \(AB = 2\) units and \(BC=4\) units. Since \(AB
eq BC\), the radius \(\overline{OP}\) does not bisect the chord \(\overline{AC}\).

Step3: Draw conclusion

So, \(\overline{OP}\) is not perpendicular to \(\overline{AC}\), and the statement is false.

Answer:

B. False